%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LAT268-10 : TPTP v9.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KKpga0zKCd true
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:41:17 PM UTC 2025
% Result : Unsatisfiable 0.53s 0.75s
% Output : Refutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LAT268-10 : TPTP v9.2.0. Released v7.5.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.KKpga0zKCd true
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 14:34:08 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.18/0.35 % Running in FO mode
% 0.53/0.64 % Total configuration time : 435
% 0.53/0.64 % Estimated wc time : 1092
% 0.53/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.75 % Solved by fo/fo6_bce.sh.
% 0.53/0.75 % BCE start: 12
% 0.53/0.75 % BCE eliminated: 0
% 0.53/0.75 % PE start: 12
% 0.53/0.75 logic: eq
% 0.53/0.75 % PE eliminated: 0
% 0.53/0.75 % done 14 iterations in 0.017s
% 0.53/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.75 % SZS output start Refutation
% 0.53/0.75 thf(tc_set_type, type, tc_set: $i > $i).
% 0.53/0.75 thf(c_Tarski_Opotype_Opset_type, type, c_Tarski_Opotype_Opset: $i > $i > $i > $i).
% 0.53/0.75 thf(tc_Tarski_Opotype_Opotype__ext__type_type, type, tc_Tarski_Opotype_Opotype__ext__type:
% 0.53/0.75 $i > $i > $i).
% 0.53/0.75 thf(c_in_type, type, c_in: $i > $i > $i > $i).
% 0.53/0.75 thf(c_Tarski_Olub_type, type, c_Tarski_Olub: $i > $i > $i > $i).
% 0.53/0.75 thf(c_lessequals_type, type, c_lessequals: $i > $i > $i > $i).
% 0.53/0.75 thf(c_Tarski_Opotype_Oorder_type, type, c_Tarski_Opotype_Oorder: $i > $i > $i > $i).
% 0.53/0.75 thf(v_cl_type, type, v_cl: $i).
% 0.53/0.75 thf(v_S_type, type, v_S: $i).
% 0.53/0.75 thf(tc_Product__Type_Ounit_type, type, tc_Product__Type_Ounit: $i).
% 0.53/0.75 thf(c_Tarski_OCompleteLattice_type, type, c_Tarski_OCompleteLattice: $i).
% 0.53/0.75 thf(tc_prod_type, type, tc_prod: $i > $i > $i).
% 0.53/0.75 thf(c_Tarski_Odual_type, type, c_Tarski_Odual: $i > $i > $i).
% 0.53/0.75 thf(ifeq_type, type, ifeq: $i > $i > $i > $i > $i).
% 0.53/0.75 thf(c_Tarski_Oglb_type, type, c_Tarski_Oglb: $i > $i > $i > $i).
% 0.53/0.75 thf(c_Pair_type, type, c_Pair: $i > $i > $i > $i > $i).
% 0.53/0.75 thf(v_r_type, type, v_r: $i).
% 0.53/0.75 thf(v_x_type, type, v_x: $i).
% 0.53/0.75 thf(v_A_type, type, v_A: $i).
% 0.53/0.75 thf(true_type, type, true: $i).
% 0.53/0.75 thf(t_a_type, type, t_a: $i).
% 0.53/0.75 thf(c_Tarski_OPartialOrder_type, type, c_Tarski_OPartialOrder: $i).
% 0.53/0.75 thf(cls_conjecture_1, conjecture, (( c_in @ v_x @ v_S @ t_a ) != ( true ))).
% 0.53/0.75 thf(zf_stmt_0, negated_conjecture, (( c_in @ v_x @ v_S @ t_a ) = ( true )),
% 0.53/0.75 inference('cnf.neg', [status(esa)], [cls_conjecture_1])).
% 0.53/0.75 thf(zip_derived_cl2, plain, (((c_in @ v_x @ v_S @ t_a) = (true))),
% 0.53/0.75 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.53/0.75 thf(cls_Tarski_Odual_Acl_A_58_APartialOrder_0, axiom,
% 0.53/0.75 (( c_in @
% 0.53/0.75 ( c_Tarski_Odual @ v_cl @ t_a ) @ c_Tarski_OPartialOrder @
% 0.53/0.75 ( tc_Tarski_Opotype_Opotype__ext__type @ t_a @ tc_Product__Type_Ounit ) ) =
% 0.53/0.75 ( true ))).
% 0.53/0.75 thf(zip_derived_cl8, plain,
% 0.53/0.75 (((c_in @ (c_Tarski_Odual @ v_cl @ t_a) @ c_Tarski_OPartialOrder @
% 0.53/0.75 (tc_Tarski_Opotype_Opotype__ext__type @ t_a @ tc_Product__Type_Ounit))
% 0.53/0.75 = (true))),
% 0.53/0.75 inference('cnf', [status(esa)],
% 0.53/0.75 [cls_Tarski_Odual_Acl_A_58_APartialOrder_0])).
% 0.53/0.75 thf(cls_Tarski_OCL_Olub__upper_0, axiom,
% 0.53/0.75 (( ifeq @
% 0.53/0.75 ( c_lessequals @
% 0.53/0.75 V_S @
% 0.53/0.75 ( c_Tarski_Opotype_Opset @ V_cl @ T_a @ tc_Product__Type_Ounit ) @
% 0.53/0.75 ( tc_set @ T_a ) ) @
% 0.53/0.75 true @
% 0.53/0.75 ( ifeq @
% 0.53/0.75 ( c_in @
% 0.53/0.75 V_cl @ c_Tarski_OCompleteLattice @
% 0.53/0.75 ( tc_Tarski_Opotype_Opotype__ext__type @
% 0.53/0.75 T_a @ tc_Product__Type_Ounit ) ) @
% 0.53/0.75 true @
% 0.53/0.75 ( ifeq @
% 0.53/0.75 ( c_in @
% 0.53/0.75 V_cl @ c_Tarski_OPartialOrder @
% 0.53/0.75 ( tc_Tarski_Opotype_Opotype__ext__type @
% 0.53/0.75 T_a @ tc_Product__Type_Ounit ) ) @
% 0.53/0.75 true @
% 0.53/0.75 ( ifeq @
% 0.53/0.75 ( c_in @ V_x @ V_S @ T_a ) @ true @
% 0.53/0.75 ( c_in @
% 0.53/0.75 ( c_Pair @
% 0.53/0.75 V_x @ ( c_Tarski_Olub @ V_S @ V_cl @ T_a ) @ T_a @ T_a ) @
% 0.53/0.75 ( c_Tarski_Opotype_Oorder @ V_cl @ T_a @ tc_Product__Type_Ounit ) @
% 0.53/0.75 ( tc_prod @ T_a @ T_a ) ) @
% 0.53/0.75 true ) @
% 0.53/0.75 true ) @
% 0.53/0.75 true ) @
% 0.53/0.75 true ) =
% 0.53/0.75 ( true ))).
% 0.53/0.75 thf(zip_derived_cl5, plain,
% 0.53/0.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.75 ((ifeq @
% 0.53/0.75 (c_lessequals @ X0 @
% 0.53/0.75 (c_Tarski_Opotype_Opset @ X1 @ X2 @ tc_Product__Type_Ounit) @
% 0.53/0.75 (tc_set @ X2)) @
% 0.53/0.75 true @
% 0.53/0.75 (ifeq @
% 0.53/0.75 (c_in @ X1 @ c_Tarski_OCompleteLattice @
% 0.53/0.75 (tc_Tarski_Opotype_Opotype__ext__type @ X2 @
% 0.53/0.75 tc_Product__Type_Ounit)) @
% 0.53/0.75 true @
% 0.53/0.75 (ifeq @
% 0.53/0.75 (c_in @ X1 @ c_Tarski_OPartialOrder @
% 0.53/0.75 (tc_Tarski_Opotype_Opotype__ext__type @ X2 @
% 0.53/0.75 tc_Product__Type_Ounit)) @
% 0.53/0.75 true @
% 0.53/0.75 (ifeq @ (c_in @ X3 @ X0 @ X2) @ true @
% 0.53/0.75 (c_in @
% 0.53/0.75 (c_Pair @ X3 @ (c_Tarski_Olub @ X0 @ X1 @ X2) @ X2 @ X2) @
% 0.53/0.75 (c_Tarski_Opotype_Oorder @ X1 @ X2 @ tc_Product__Type_Ounit) @
% 0.53/0.75 (tc_prod @ X2 @ X2)) @
% 0.53/0.75 true) @
% 0.53/0.75 true) @
% 0.53/0.75 true) @
% 0.53/0.75 true) = (true))),
% 0.53/0.75 inference('cnf', [status(esa)], [cls_Tarski_OCL_Olub__upper_0])).
% 0.53/0.75 thf(zip_derived_cl16, plain,
% 0.53/0.75 (![X0 : $i, X1 : $i]:
% 0.53/0.75 ((ifeq @
% 0.53/0.75 (c_lessequals @ X0 @
% 0.53/0.75 (c_Tarski_Opotype_Opset @ (c_Tarski_Odual @ v_cl @ t_a) @ t_a @
% 0.53/0.75 tc_Product__Type_Ounit) @
% 0.53/0.75 (tc_set @ t_a)) @
% 0.53/0.75 true @
% 0.53/0.75 (ifeq @
% 0.53/0.75 (c_in @ (c_Tarski_Odual @ v_cl @ t_a) @
% 0.53/0.75 c_Tarski_OCompleteLattice @
% 0.53/0.75 (tc_Tarski_Opotype_Opotype__ext__type @ t_a @
% 0.53/0.75 tc_Product__Type_Ounit)) @
% 0.53/0.75 true @
% 0.53/0.75 (ifeq @ true @ true @
% 0.53/0.75 (ifeq @ (c_in @ X1 @ X0 @ t_a) @ true @
% 0.53/0.75 (c_in @
% 0.53/0.75 (c_Pair @ X1 @
% 0.53/0.75 (c_Tarski_Olub @ X0 @ (c_Tarski_Odual @ v_cl @ t_a) @ t_a) @
% 0.53/0.75 t_a @ t_a) @
% 0.53/0.75 (c_Tarski_Opotype_Oorder @ (c_Tarski_Odual @ v_cl @ t_a) @
% 0.53/0.75 t_a @ tc_Product__Type_Ounit) @
% 0.53/0.75 (tc_prod @ t_a @ t_a)) @
% 0.53/0.75 true) @
% 0.53/0.75 true) @
% 0.53/0.75 true) @
% 0.53/0.75 true) = (true))),
% 0.53/0.75 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl5])).
% 0.53/0.75 thf(cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0, axiom,
% 0.53/0.75 (( c_in @
% 0.53/0.75 ( c_Tarski_Odual @ v_cl @ t_a ) @ c_Tarski_OCompleteLattice @
% 0.53/0.75 ( tc_Tarski_Opotype_Opotype__ext__type @ t_a @ tc_Product__Type_Ounit ) ) =
% 0.53/0.75 ( true ))).
% 0.53/0.75 thf(zip_derived_cl7, plain,
% 0.53/0.75 (((c_in @ (c_Tarski_Odual @ v_cl @ t_a) @ c_Tarski_OCompleteLattice @
% 0.53/0.75 (tc_Tarski_Opotype_Opotype__ext__type @ t_a @ tc_Product__Type_Ounit))
% 0.53/0.75 = (true))),
% 0.53/0.75 inference('cnf', [status(esa)],
% 0.53/0.75 [cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0])).
% 0.53/0.75 thf(ifeq_axiom, axiom, (( ifeq @ A @ A @ B @ C ) = ( B ))).
% 0.53/0.75 thf(zip_derived_cl0, plain,
% 0.53/0.75 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.53/0.75 inference('cnf', [status(esa)], [ifeq_axiom])).
% 0.53/0.75 thf(zip_derived_cl0, plain,
% 0.53/0.75 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.53/0.75 inference('cnf', [status(esa)], [ifeq_axiom])).
% 0.53/0.75 thf(zip_derived_cl23, plain,
% 0.53/0.75 (![X0 : $i, X1 : $i]:
% 0.53/0.75 ((ifeq @
% 0.53/0.75 (c_lessequals @ X0 @
% 0.53/0.75 (c_Tarski_Opotype_Opset @ (c_Tarski_Odual @ v_cl @ t_a) @ t_a @
% 0.53/0.75 tc_Product__Type_Ounit) @
% 0.53/0.75 (tc_set @ t_a)) @
% 0.53/0.75 true @
% 0.53/0.75 (ifeq @ (c_in @ X1 @ X0 @ t_a) @ true @
% 0.53/0.75 (c_in @
% 0.53/0.75 (c_Pair @ X1 @
% 0.53/0.75 (c_Tarski_Olub @ X0 @ (c_Tarski_Odual @ v_cl @ t_a) @ t_a) @
% 0.53/0.75 t_a @ t_a) @
% 0.53/0.75 (c_Tarski_Opotype_Oorder @ (c_Tarski_Odual @ v_cl @ t_a) @ t_a @
% 0.53/0.75 tc_Product__Type_Ounit) @
% 0.53/0.75 (tc_prod @ t_a @ t_a)) @
% 0.53/0.75 true) @
% 0.53/0.75 true) = (true))),
% 0.53/0.75 inference('demod', [status(thm)],
% 0.53/0.75 [zip_derived_cl16, zip_derived_cl7, zip_derived_cl0,
% 0.53/0.75 zip_derived_cl0])).
% 0.53/0.75 thf(cls_Tarski_Oglb__dual__lub_0, axiom,
% 0.53/0.75 (( c_Tarski_Oglb @ V_S @ V_cl @ T_a ) =
% 0.53/0.75 ( c_Tarski_Olub @ V_S @ ( c_Tarski_Odual @ V_cl @ T_a ) @ T_a ))).
% 0.53/0.75 thf(zip_derived_cl9, plain,
% 0.53/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.53/0.75 ((c_Tarski_Oglb @ X0 @ X1 @ X2)
% 0.53/0.75 = (c_Tarski_Olub @ X0 @ (c_Tarski_Odual @ X1 @ X2) @ X2))),
% 0.53/0.75 inference('cnf', [status(esa)], [cls_Tarski_Oglb__dual__lub_0])).
% 0.53/0.75 thf(zip_derived_cl27, plain,
% 0.53/0.75 (![X0 : $i, X1 : $i]:
% 0.53/0.75 ((ifeq @
% 0.53/0.75 (c_lessequals @ X0 @
% 0.53/0.75 (c_Tarski_Opotype_Opset @ (c_Tarski_Odual @ v_cl @ t_a) @ t_a @
% 0.53/0.75 tc_Product__Type_Ounit) @
% 0.53/0.75 (tc_set @ t_a)) @
% 0.53/0.75 true @
% 0.53/0.75 (ifeq @ (c_in @ X1 @ X0 @ t_a) @ true @
% 0.53/0.75 (c_in @
% 0.53/0.75 (c_Pair @ X1 @ (c_Tarski_Oglb @ X0 @ v_cl @ t_a) @ t_a @ t_a) @
% 0.53/0.75 (c_Tarski_Opotype_Oorder @ (c_Tarski_Odual @ v_cl @ t_a) @ t_a @
% 0.53/0.75 tc_Product__Type_Ounit) @
% 0.53/0.75 (tc_prod @ t_a @ t_a)) @
% 0.53/0.75 true) @
% 0.53/0.75 true) = (true))),
% 0.53/0.75 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl9])).
% 0.53/0.75 thf(zip_derived_cl28, plain,
% 0.53/0.75 (((ifeq @
% 0.53/0.75 (c_lessequals @ v_S @
% 0.53/0.75 (c_Tarski_Opotype_Opset @ (c_Tarski_Odual @ v_cl @ t_a) @ t_a @
% 0.53/0.75 tc_Product__Type_Ounit) @
% 0.53/0.75 (tc_set @ t_a)) @
% 0.53/0.75 true @
% 0.53/0.75 (ifeq @ true @ true @
% 0.53/0.75 (c_in @
% 0.53/0.75 (c_Pair @ v_x @ (c_Tarski_Oglb @ v_S @ v_cl @ t_a) @ t_a @ t_a) @
% 0.53/0.75 (c_Tarski_Opotype_Oorder @ (c_Tarski_Odual @ v_cl @ t_a) @ t_a @
% 0.53/0.75 tc_Product__Type_Ounit) @
% 0.53/0.75 (tc_prod @ t_a @ t_a)) @
% 0.53/0.75 true) @
% 0.53/0.75 true) = (true))),
% 0.53/0.75 inference('s_sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl27])).
% 0.53/0.75 thf(zip_derived_cl0, plain,
% 0.53/0.75 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.53/0.75 inference('cnf', [status(esa)], [ifeq_axiom])).
% 0.53/0.75 thf(zip_derived_cl29, plain,
% 0.53/0.75 (((ifeq @
% 0.53/0.75 (c_lessequals @ v_S @
% 0.53/0.75 (c_Tarski_Opotype_Opset @ (c_Tarski_Odual @ v_cl @ t_a) @ t_a @
% 0.53/0.75 tc_Product__Type_Ounit) @
% 0.53/0.75 (tc_set @ t_a)) @
% 0.53/0.75 true @
% 0.53/0.75 (c_in @
% 0.53/0.75 (c_Pair @ v_x @ (c_Tarski_Oglb @ v_S @ v_cl @ t_a) @ t_a @ t_a) @
% 0.53/0.75 (c_Tarski_Opotype_Oorder @ (c_Tarski_Odual @ v_cl @ t_a) @ t_a @
% 0.53/0.75 tc_Product__Type_Ounit) @
% 0.53/0.75 (tc_prod @ t_a @ t_a)) @
% 0.53/0.75 true) = (true))),
% 0.53/0.75 inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl0])).
% 0.53/0.75 thf(cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0, axiom,
% 0.53/0.75 (( c_Tarski_Opotype_Opset @
% 0.53/0.75 ( c_Tarski_Odual @ V_cl @ T_a ) @ T_a @ tc_Product__Type_Ounit ) =
% 0.53/0.75 ( c_Tarski_Opotype_Opset @ V_cl @ T_a @ tc_Product__Type_Ounit ))).
% 0.53/0.75 thf(zip_derived_cl10, plain,
% 0.53/0.75 (![X0 : $i, X1 : $i]:
% 0.53/0.75 ((c_Tarski_Opotype_Opset @ (c_Tarski_Odual @ X0 @ X1) @ X1 @
% 0.53/0.75 tc_Product__Type_Ounit)
% 0.53/0.75 = (c_Tarski_Opotype_Opset @ X0 @ X1 @ tc_Product__Type_Ounit))),
% 0.53/0.75 inference('cnf', [status(esa)],
% 0.53/0.75 [cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0])).
% 0.53/0.75 thf(cls_Tarski_OA_A_61_61_Apset_Acl_0, axiom,
% 0.53/0.75 (( v_A ) = ( c_Tarski_Opotype_Opset @ v_cl @ t_a @ tc_Product__Type_Ounit ))).
% 0.53/0.75 thf(zip_derived_cl4, plain,
% 0.53/0.75 (((v_A) = (c_Tarski_Opotype_Opset @ v_cl @ t_a @ tc_Product__Type_Ounit))),
% 0.53/0.75 inference('cnf', [status(esa)], [cls_Tarski_OA_A_61_61_Apset_Acl_0])).
% 0.53/0.75 thf(cls_conjecture_0, conjecture,
% 0.53/0.75 (( c_lessequals @ v_S @ v_A @ ( tc_set @ t_a ) ) != ( true ))).
% 0.53/0.75 thf(zf_stmt_1, negated_conjecture,
% 0.53/0.75 (( c_lessequals @ v_S @ v_A @ ( tc_set @ t_a ) ) = ( true )),
% 0.53/0.75 inference('cnf.neg', [status(esa)], [cls_conjecture_0])).
% 0.53/0.75 thf(zip_derived_cl1, plain,
% 0.53/0.75 (((c_lessequals @ v_S @ v_A @ (tc_set @ t_a)) = (true))),
% 0.53/0.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.53/0.75 thf(zip_derived_cl0, plain,
% 0.53/0.75 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.53/0.75 inference('cnf', [status(esa)], [ifeq_axiom])).
% 0.53/0.75 thf(zip_derived_cl32, plain,
% 0.53/0.75 (((c_in @
% 0.53/0.75 (c_Pair @ v_x @ (c_Tarski_Oglb @ v_S @ v_cl @ t_a) @ t_a @ t_a) @
% 0.53/0.75 (c_Tarski_Opotype_Oorder @ (c_Tarski_Odual @ v_cl @ t_a) @ t_a @
% 0.53/0.75 tc_Product__Type_Ounit) @
% 0.53/0.75 (tc_prod @ t_a @ t_a)) = (true))),
% 0.53/0.75 inference('demod', [status(thm)],
% 0.53/0.75 [zip_derived_cl29, zip_derived_cl10, zip_derived_cl4,
% 0.53/0.75 zip_derived_cl1, zip_derived_cl0])).
% 0.53/0.75 thf(cls_Tarski_O_Ix1_M_Ay1_J_A_58_Aorder_A_Idual_Acl_J_A_61_61_A_Iy1_M_Ax1_J_A_58_Aorder_Acl_0, axiom,
% 0.53/0.75 (( ifeq @
% 0.53/0.75 ( c_in @
% 0.53/0.75 ( c_Pair @ V_x @ V_y @ T_a @ T_a ) @
% 0.53/0.75 ( c_Tarski_Opotype_Oorder @
% 0.53/0.75 ( c_Tarski_Odual @ V_cl @ T_a ) @ T_a @ tc_Product__Type_Ounit ) @
% 0.53/0.75 ( tc_prod @ T_a @ T_a ) ) @
% 0.53/0.75 true @
% 0.53/0.75 ( c_in @
% 0.53/0.75 ( c_Pair @ V_y @ V_x @ T_a @ T_a ) @
% 0.53/0.75 ( c_Tarski_Opotype_Oorder @ V_cl @ T_a @ tc_Product__Type_Ounit ) @
% 0.53/0.75 ( tc_prod @ T_a @ T_a ) ) @
% 0.53/0.75 true ) =
% 0.53/0.75 ( true ))).
% 0.53/0.75 thf(zip_derived_cl6, plain,
% 0.53/0.75 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.53/0.75 ((ifeq @
% 0.53/0.75 (c_in @ (c_Pair @ X0 @ X1 @ X2 @ X2) @
% 0.53/0.75 (c_Tarski_Opotype_Oorder @ (c_Tarski_Odual @ X3 @ X2) @ X2 @
% 0.53/0.75 tc_Product__Type_Ounit) @
% 0.53/0.75 (tc_prod @ X2 @ X2)) @
% 0.53/0.75 true @
% 0.53/0.75 (c_in @ (c_Pair @ X1 @ X0 @ X2 @ X2) @
% 0.53/0.75 (c_Tarski_Opotype_Oorder @ X3 @ X2 @ tc_Product__Type_Ounit) @
% 0.53/0.75 (tc_prod @ X2 @ X2)) @
% 0.53/0.75 true) = (true))),
% 0.53/0.75 inference('cnf', [status(esa)],
% 0.53/0.75 [cls_Tarski_O_Ix1_M_Ay1_J_A_58_Aorder_A_Idual_Acl_J_A_61_61_A_Iy1_M_Ax1_J_A_58_Aorder_Acl_0])).
% 0.53/0.75 thf(zip_derived_cl36, plain,
% 0.53/0.75 (((ifeq @ true @ true @
% 0.53/0.75 (c_in @
% 0.53/0.75 (c_Pair @ (c_Tarski_Oglb @ v_S @ v_cl @ t_a) @ v_x @ t_a @ t_a) @
% 0.53/0.75 (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit) @
% 0.53/0.75 (tc_prod @ t_a @ t_a)) @
% 0.53/0.75 true) = (true))),
% 0.53/0.75 inference('s_sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl6])).
% 0.53/0.75 thf(cls_Tarski_Or_A_61_61_Aorder_Acl_0, axiom,
% 0.53/0.75 (( v_r ) =
% 0.53/0.75 ( c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit ))).
% 0.53/0.75 thf(zip_derived_cl11, plain,
% 0.53/0.75 (((v_r) = (c_Tarski_Opotype_Oorder @ v_cl @ t_a @ tc_Product__Type_Ounit))),
% 0.53/0.75 inference('cnf', [status(esa)], [cls_Tarski_Or_A_61_61_Aorder_Acl_0])).
% 0.53/0.75 thf(zip_derived_cl0, plain,
% 0.53/0.75 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 0.53/0.75 inference('cnf', [status(esa)], [ifeq_axiom])).
% 0.53/0.75 thf(zip_derived_cl39, plain,
% 0.53/0.75 (((c_in @
% 0.53/0.75 (c_Pair @ (c_Tarski_Oglb @ v_S @ v_cl @ t_a) @ v_x @ t_a @ t_a) @
% 0.53/0.75 v_r @ (tc_prod @ t_a @ t_a)) = (true))),
% 0.53/0.75 inference('demod', [status(thm)],
% 0.53/0.75 [zip_derived_cl36, zip_derived_cl11, zip_derived_cl0])).
% 0.53/0.75 thf(cls_conjecture_2, conjecture,
% 0.53/0.75 (( c_in @
% 0.53/0.75 ( c_Pair @ ( c_Tarski_Oglb @ v_S @ v_cl @ t_a ) @ v_x @ t_a @ t_a ) @
% 0.53/0.75 v_r @ ( tc_prod @ t_a @ t_a ) ) =
% 0.53/0.75 ( true ))).
% 0.53/0.75 thf(zf_stmt_2, negated_conjecture,
% 0.53/0.75 (( c_in @
% 0.53/0.75 ( c_Pair @ ( c_Tarski_Oglb @ v_S @ v_cl @ t_a ) @ v_x @ t_a @ t_a ) @
% 0.53/0.75 v_r @ ( tc_prod @ t_a @ t_a ) ) !=
% 0.53/0.75 ( true )),
% 0.53/0.75 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 0.53/0.75 thf(zip_derived_cl3, plain,
% 0.53/0.75 (((c_in @
% 0.53/0.75 (c_Pair @ (c_Tarski_Oglb @ v_S @ v_cl @ t_a) @ v_x @ t_a @ t_a) @
% 0.53/0.75 v_r @ (tc_prod @ t_a @ t_a)) != (true))),
% 0.53/0.75 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.53/0.75 thf(zip_derived_cl40, plain, ($false),
% 0.53/0.75 inference('simplify_reflect-', [status(thm)],
% 0.53/0.75 [zip_derived_cl39, zip_derived_cl3])).
% 0.53/0.75
% 0.53/0.75 % SZS output end Refutation
% 0.53/0.75
% 0.53/0.75
% 0.53/0.75 % Terminating...
% 1.63/0.85 % Runner terminated.
% 1.63/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------